Atkin-Lehner |
2+ 3+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152c |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-304092144 = -1 · 24 · 36 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 -2 0 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,1179] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:29:1] [3:27:1] |
Generators of the group modulo torsion |
j |
-26409397504/19005759 |
j-invariant |
L |
7.3400516023538 |
L(r)(E,1)/r! |
Ω |
1.5876431014112 |
Real period |
R |
1.1558094504724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21576k1 129456p1 |
Quadratic twists by: -4 -3 |